{ 
[M:Type 
 Type]
    
r:pRunType(P.M[P])
      SWellFounded(x run-pred(r) y) 
      supposing 
e:runEvents(r)
                  ((fst(fst(run-info(r;e)))) < run-event-step(e)) }
{ Proof }
Definitions occuring in Statement : 
run-pred: run-pred(r), 
run-event-step: run-event-step(e), 
runEvents: runEvents(r), 
run-info: run-info(r;e), 
pRunType: pRunType(T.M[T]), 
uimplies: b supposing a, 
uall:
[x:A]. B[x], 
infix_ap: x f y, 
so_apply: x[s], 
pi1: fst(t), 
all:
x:A. B[x], 
less_than: a < b, 
function: x:A 
 B[x], 
universe: Type, 
strongwellfounded: SWellFounded(R[x; y])
Definitions : 
uall:
[x:A]. B[x], 
all:
x:A. B[x], 
so_apply: x[s], 
uimplies: b supposing a, 
strongwellfounded: SWellFounded(R[x; y]), 
infix_ap: x f y, 
member: t 
 T, 
so_lambda: 
x.t[x], 
exists:
x:A. B[x], 
implies: P 
 Q, 
prop:
, 
top: Top, 
subtype: S 
 T, 
nat:
, 
guard: {T}
Lemmas : 
run-pred-step-less, 
runEvents_wf, 
run-event-step_wf, 
run-pred_wf, 
nat_wf, 
pi1_wf_top, 
top_wf, 
run-info_wf, 
Id_wf, 
pMsg_wf, 
pRunType_wf
\mforall{}[M:Type  {}\mrightarrow{}  Type]
    \mforall{}r:pRunType(P.M[P])
        SWellFounded(x  run-pred(r)  y) 
        supposing  \mforall{}e:runEvents(r).  ((fst(fst(run-info(r;e))))  <  run-event-step(e))
Date html generated:
2011_08_16-PM-07_04_33
Last ObjectModification:
2011_06_18-AM-11_17_57
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